%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO232+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 09:05:30 EST 2010

% Result   : Theorem 0.17s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (  12 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   33 (  14   ~;  15   |;   2   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   31 (   1 sgn  21   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X1,reverse_line(X2)) ),
    file('/tmp/tmpvhWo-7/sel_GEO232+3.p_1',ax8_basics) ).

fof(2,axiom,
    ! [X1,X2,X3] :
      ( unequally_directed_lines(X1,X2)
     => ( unequally_directed_lines(X1,X3)
        | unequally_directed_lines(X2,X3) ) ),
    file('/tmp/tmpvhWo-7/sel_GEO232+3.p_1',ax6_basics) ).

fof(4,axiom,
    ! [X4,X5] :
      ( unequally_directed_opposite_lines(X4,X5)
    <=> unequally_directed_lines(X4,reverse_line(X5)) ),
    file('/tmp/tmpvhWo-7/sel_GEO232+3.p_1',a1_defns) ).

fof(5,conjecture,
    ! [X1] : unequally_directed_opposite_lines(X1,X1),
    file('/tmp/tmpvhWo-7/sel_GEO232+3.p_1',con) ).

fof(6,negated_conjecture,
    ~ ! [X1] : unequally_directed_opposite_lines(X1,X1),
    inference(assume_negation,[status(cth)],[5]) ).

fof(7,plain,
    ! [X3,X4] :
      ( unequally_directed_lines(X3,X4)
      | unequally_directed_lines(X3,reverse_line(X4)) ),
    inference(variable_rename,[status(thm)],[1]) ).

cnf(8,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[7]) ).

fof(9,plain,
    ! [X1,X2,X3] :
      ( ~ unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X1,X3)
      | unequally_directed_lines(X2,X3) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(10,plain,
    ! [X4,X5,X6] :
      ( ~ unequally_directed_lines(X4,X5)
      | unequally_directed_lines(X4,X6)
      | unequally_directed_lines(X5,X6) ),
    inference(variable_rename,[status(thm)],[9]) ).

cnf(11,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    inference(split_conjunct,[status(thm)],[10]) ).

fof(19,plain,
    ! [X4,X5] :
      ( ( ~ unequally_directed_opposite_lines(X4,X5)
        | unequally_directed_lines(X4,reverse_line(X5)) )
      & ( ~ unequally_directed_lines(X4,reverse_line(X5))
        | unequally_directed_opposite_lines(X4,X5) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(20,plain,
    ! [X6,X7] :
      ( ( ~ unequally_directed_opposite_lines(X6,X7)
        | unequally_directed_lines(X6,reverse_line(X7)) )
      & ( ~ unequally_directed_lines(X6,reverse_line(X7))
        | unequally_directed_opposite_lines(X6,X7) ) ),
    inference(variable_rename,[status(thm)],[19]) ).

cnf(21,plain,
    ( unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(split_conjunct,[status(thm)],[20]) ).

fof(23,negated_conjecture,
    ? [X1] : ~ unequally_directed_opposite_lines(X1,X1),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(24,negated_conjecture,
    ? [X2] : ~ unequally_directed_opposite_lines(X2,X2),
    inference(variable_rename,[status(thm)],[23]) ).

fof(25,negated_conjecture,
    ~ unequally_directed_opposite_lines(esk1_0,esk1_0),
    inference(skolemize,[status(esa)],[24]) ).

cnf(26,negated_conjecture,
    ~ unequally_directed_opposite_lines(esk1_0,esk1_0),
    inference(split_conjunct,[status(thm)],[25]) ).

cnf(27,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
    inference(spm,[status(thm)],[26,21,theory(equality)]) ).

cnf(34,negated_conjecture,
    unequally_directed_lines(esk1_0,esk1_0),
    inference(spm,[status(thm)],[27,8,theory(equality)]) ).

cnf(35,negated_conjecture,
    unequally_directed_lines(esk1_0,X1),
    inference(spm,[status(thm)],[11,34,theory(equality)]) ).

cnf(40,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[27,35,theory(equality)]) ).

cnf(41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[40,theory(equality)]) ).

cnf(42,negated_conjecture,
    $false,
    41,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO232+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpvhWo-7/sel_GEO232+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO232+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO232+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO232+3.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------